101122231 has 16 divisors (see below), whose sum is σ = 119016000. Its totient is φ = 85876224.

The previous prime is 101122187. The next prime is 101122289. The reversal of 101122231 is 132221101.

It is not a de Polignac number, because 101122231 - 2⁹ = 101121719 is a prime.

It is a super-2 number, since 2×101122231² = 20451411204834722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37455 + ... + 40063.

It is an arithmetic number, because the mean of its divisors is an integer number (7438500).

Almost surely, 2^101122231 is an apocalyptic number.

101122231 is a deficient number, since it is larger than the sum of its proper divisors (17893769).

101122231 is an equidigital number, since it uses as much as digits as its factorization.

101122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101122231 is about 10055.9550018882. The cubic root of 101122231 is about 465.8887400392. Note that the first 3 decimals are identical.

Adding to 101122231 its reverse (132221101), we get a palindrome (233343332).

The spelling of 101122231 in words is "one hundred one million, one hundred twenty-two thousand, two hundred thirty-one".